Seshagiri Rao N, Kalyani K
Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia.
Department of Mathematics, Vignan's Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.
Heliyon. 2020 Nov 25;6(11):e05563. doi: 10.1016/j.heliyon.2020.e05563. eCollection 2020 Nov.
In this paper, we establish some fixed point results of a mapping satisfying certain rational type contractive conditions in the frame work of a metric space endowed with partial order. Our results generalize and extend the result of Singh and Chatterjee (1988) [7] in partially ordered metric spaces and some existing results in the literature. Few illustrative examples are given to support our results.
在本文中，我们在赋予偏序的度量空间框架下，建立了满足某些有理型压缩条件的映射的一些不动点结果。我们的结果推广并扩展了辛格和查特吉（1988）[7]在偏序度量空间中的结果以及文献中的一些现有结果。给出了一些说明性例子来支持我们的结果。
